$4.$ The diagram below shows the $32-$bit address format used for a particular byte addressable memory system containing multiple memory modules:

a$)(3)$ What is the width in bits of each memory module? Width $\backslash (=\backslash )$ bits.

b$)(2)$ To which memory module does the $32-$bit decimal address $3405705229$ correspond? Modules are numbered starting from $0.$ Express your answer as a decimal integer.

Module Number $\backslash (=\backslash )$

c$)(3)$ What is the cell number to which address $\backslash (0$ x $00408000\backslash )$ corresponds? Cells are numbered starting from $0.$ Express your answer as a decimal integer. Cell Number $\backslash (=\backslash )$

d$)(3)$ Does this memory system employ high order interleaving or does it employ low order interleaving?